# ELEMENTS OF ELECTROMAGNETICS cod. 1007073

2° year of course - First semester
Professor
Campi elettromagnetici (ING-INF/02)
Field
Attività formative affini o integrative
Type of training activity
Related/supplementary
48 hours
of face-to-face activities
6 credits
hub: PARMA
course unit
in ITALIAN

## Learning objectives

At the end of the course the students will be able to:
− know the fundamental electromagnetic phenomena and their laws;
− understand the most important physical phenomena related to electromagnetism;
− solve exercises and problems regarding the basic principle of electromagnetism;
− apply the acquired knowledge on electromagnetism to different and more complex scenarios with respect to the ones explained in this course.

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## Course unit content

Introduction on electromagnetism
Review of vector algebra, differential calculus and integral calculus
Electrostatics: electric charge; Coulomb’s law and electric field; Gauss’s law; electric potential; conductors, capacitance and dielectrics; current and resistance
Magnetostatics: magnetic force; magnetic field and currents; inductance and mutual inductance; magnetic properties of materials
Electromagnetic induction
Waves
Maxwell’s equations and electromagnetic waves

## Full programme

Each class corresponds to 2 hours
CLASS 1: Introduction on electromagnetism: electric and magnetic phenomena, definition of electrostatics, magnetostatics and dynamics
CLASS 2: Review of scalars and vectors, vector operations, differential calculus (gradient, divergence, curl, laplacian operator), integral calculus
CLASS 3: Electric charge, Coulomb’s law, electric field, field lines
CLASS 4: Flux, Gauss’s law
CLASS 5: Electrostatic potential energy, electric potential
CLASS 6: Electric field and electric potential relation, equipotential surfaces
CLASS 7: Exercises on Coulomb’s law, electric field, Gauss’s law, electric potential
CLASS 8: Electrostatic properties of conductor and dielectric materials
CLASS 9: Capacitance and capacitors
CLASS 10: Electric charge flux, resistance, Ohm’s law
CLASS 11: Exercises on capacitance, resistance, Ohm’s law
CLASS 12: Magnetic field, force acting on a conductor, magnetic moment acting on a loop, movement of charges in electric and magnetic fields
CLASS 13: Exercises on magnetic field, magnetic force, magnetic moment
CLASS 14: Biot-Savart law, Ampere’s law, magnetic force between conductors
CLASS 15: Applications of Ampere’s law, displacement current, modified Ampere’s law
CLASS 16: Magnetic flux, Gauss’s law for magnetism
CLASS 17: Inductance and mutual inductance, magnetic properties of materials
CLASS 18: Exercises on Biot-Savart law, Ampere’s law, force between conductors
CLASS 19: Law of electromagnetic induction, electromotive force, Faraday’s law, Ampere’s law
CLASS 20: Characterization of waves, wave equation, harmonic waves
CLASS 21: Wave energy, power and intensity, typical wave phenomena
CLASS 22: Maxwell’s equations, electromagnetic waves, plane electromagnetic waves
CLASS 23: Electromagnetic wave intensity, radiation pressure, electromagnetic wave emission
CLASS 24: Exercises on waves and electromagnetic waves

## Bibliography

G. Cantatore, L. Vitale, “Gettys Fisica 2. Elettromagnetismo-Onde”, McGraw-Hill Education, 2016 (IV edizione)
Fawwaz T. Ulaby, Umberto Ravaioli, “Fundamentals of Applied Electromagnetics” (7th edition), Pearson, 2015
Fawwaz T. Ulaby, “Fondamenti di campi elettromagnetici. Teoria e applicazioni” (a cura di Stefano Selleri), McGraw-Hill Education, 2006

## Teaching methods

The teaching activities include lessons carried out in a lecture room, using blackboard and pc/projector to show multimedia presentations and images (38 hours). In addition, practice lessons (10 hours) carried out using blackboard or, possibly, software programs, are planned.
Additional teaching material used during the lessons is weekly uploaded to the Elly web site. The registration to the course is necessary to download the slides.
Students who are not attending to the course should periodically check the teaching material and the information provided by the professor on the Elly web site.

## Assessment methods and criteria

The learning assessment is made with a written exam, normally with exercises and some questions on the topics developed during the lessons. The aim of the written exam, which has a duration of two hours, is to verify the student’s knowledge and the ability to apply the learned concepts to problems. The written exam, during which it is allowed the use of the calculator, is evaluated in the range 0/30. The honors are assigned only for perfect tests. The mark of the written exam is normally published within a week on the Esse3 web-site.
The online registration to the exam is mandatory and it is possible until three days before the exam date.

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